Geodesic
More About Petrović's Inequality on Coordinates via $m$-Convex Functions and Related Results
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 335 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper the authors extend Petrović's inequality for coordinated $m$-convex functions in the plane and also find Lagrange type and Cauchy type mean value theorems for Petrović's inequality for $m$-convex functions and coordinated $m$-convex functions. The authors consider functional due to Petrović's inequality in plane and discuss its properties for certain class of coordinated log-$m$-convex functions.
Classification : 26A51, 26D15, 35B05
Keywords: Petrović's inequality, mean value theorem, log-convexity, $m$-convex functions on coordinates 
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     author = {Atiq Ur Rehman and Ghulam Farid and Wasim Iqbal},
     title = {More {About} {Petrovi\'c's} {Inequality} on {Coordinates} via $m${-Convex} {Functions} and {Related} {Results}},
     journal = {Kragujevac Journal of Mathematics},
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Atiq Ur Rehman; Ghulam Farid; Wasim Iqbal. More About Petrović's Inequality on Coordinates via $m$-Convex Functions and Related Results. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 335 . http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a0/